Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638

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      <text>
        <body>
          <pb xlink:href="076/01/024.jpg"/>
          <chap>
            <p type="head">
              <s id="s.000161">PROPOSITIO XII.
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              </s>
            </p>
            <subchap1>
              <p>
                <s id="s.000162">Gravia descendunt super plana diverse inclinata tali
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                proportione, ut si velocitas ad velocitatem recipro-
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                ca longitudinibus planorum ductorum ab eodem
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                puncto, ad idem planum orizontale.
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                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000163">Sint F, D plana inclinata ducta ad idem planum orizon-
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              tale.
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              </s>
            </p>
            <p>
              <s id="s.000164">Dico esse ut planum D ad planum F, ita velocitatem gravis
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              ducti super F, ad velocitatem eiusdem ducti super D.
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              </s>
            </p>
            <p>
              <s id="s.000165">Ducatur perpendicularis E, & sint B, A, C velocitates gra-
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              vium latorum super perpendiculari, & super planis F, D.
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              </s>
            </p>
            <p>
              <s id="s.000166">Quoniam est A ad B, ut E ad F, item, & B ad C, ut D, ad
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              E
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              , erit A ad C ut D ad F
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              , scilicet velocitas gravis su-
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              per F ad velocitatem gravis super D, ut longitudo pla-
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              ni D ad longitudinem plani F. </s>
              <s id="s.000167">Quod fuit probandum.
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              </s>
            </p>
            <p type="margin">
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              Per 11.
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              hujus.
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              </s>
              <s id="s.000169">
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              Per 23.
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              Quinti.
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              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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